Unit digit of the square of 1045

Here we will show you two ways of finding the unit digit of the square of 1045. First, we will define what the unit digit of the square of 1045 means. Next, we will find the unit digit of the square of 1045 using the Rule Method, and then we will find the unit digit of the square of 1045 using the Math Method.

The last digit (one digit) of the product you get when you multiply 1045 by itself is the unit digit of the square of 1045.

Rule Method
The unit digit of any square will never be 2, 3, 7, or 8. It can be only 0, 1, 4, 5, 6, or 9. Furthermore, the unit digit of the square of a number depends on its units digit. In other words, the unit digit of the square of 1045 depends on 5, because that is the last digit in 1045. Here are the rules:

Rule A) If the unit digit of a number is 0, then the unit digit of the square of that number is 0.

Rule B) If the unit digit of a number is 1 or 9, then the unit digit of the square of that number is 1.

Rule C) If the unit digit of a number is 2 or 8, then the unit digit of the square of that number is 4.

Rule D) If the unit digit of a number is 5, then the unit digit of the square of that number is 5.

Rule E) If the unit digit of a number is 4 or 6, then the unit digit of the square of that number is 6.

Rule F) If the unit digit of a number is 3 or 7, then the unit digit of the square of that number is 9.

The unit digit of 1045 is 5, therefore Rule D applies, and the unit digit of the square of 1045 is 5.

Unit digit of the square of 1045 = 5

Math Method
The unit digit of the square of a number depends on its units digit with this method too. Here you multiply the unit digit of the number by itself, and then look at the unit digit of that product. Again, the unit digit of 1045 is 5, so you multiply 5 by itself, and then look at the unit digit to get the answer once again:

5 × 5 = 25
Unit digit of 25 is 5.
Unit digit of the square of 1045 = 5

Of course, instead of using either of the methods above, you can multiply 1045 by itself if you have the time or a calculator, and then identify the unit digit to get the answer to the unit digit of the square of 1045. We did that below to double-check that our answer is correct:

1045 × 1045 = 1092025
Unit digit of 1092025 is 5.
Unit digit of the square of 1045 = 5

Unit Digit of the Square Calculator
Please enter another number that we can find the unit digit of the square for.

Unit digit of the square of 1046
Here is the unit digit of the square of the next number on our list.